Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / numeric / odeint / doc / html / boost / numeric / odeint / extrapolation_stepper.html

diff --git a/libs/numeric/odeint/doc/html/boost/numeric/odeint/extrapolation_stepper.html b/libs/numeric/odeint/doc/html/boost/numeric/odeint/extrapolation_stepper.html
index 671a598..5b0f04b 100644 (file)
--- a/libs/numeric/odeint/doc/html/boost/numeric/odeint/extrapolation_stepper.html
+++ b/libs/numeric/odeint/doc/html/boost/numeric/odeint/extrapolation_stepper.html
@@ -50,41 +50,41 @@
   <span class="keyword">typedef</span> <span class="keyword">unsigned</span> <span class="keyword">short</span>                                                  <a name="boost.numeric.odeint.extrapolation_stepper.order_type"></a><span class="identifier">order_type</span><span class="special">;</span>       
 
   <span class="comment">// <a class="link" href="extrapolation_stepper.html#boost.numeric.odeint.extrapolation_stepperconstruct-copy-destruct">construct/copy/destruct</a></span>
-  <a class="link" href="extrapolation_stepper.html#idm45806989313712-bb"><span class="identifier">extrapolation_stepper</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
+  <a class="link" href="extrapolation_stepper.html#idm45853739192848-bb"><span class="identifier">extrapolation_stepper</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45806989372672-bb">private member functions</a></span>
-   <a class="link" href="extrapolation_stepper.html#idm45806989372096-bb"><span class="identifier">BOOST_STATIC_ASSERT_MSG</span></a><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&amp;&amp;</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">&gt;</span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 
+  <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45853739251808-bb">private member functions</a></span>
+   <a class="link" href="extrapolation_stepper.html#idm45853739251232-bb"><span class="identifier">BOOST_STATIC_ASSERT_MSG</span></a><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&amp;&amp;</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">&gt;</span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 
                            <span class="string">"extrapolation_stepper requires even Order larger than 2"</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45806989369968-bb"><span class="identifier">resize_impl</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45806989367584-bb"><span class="identifier">resize_m_xout</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45853739249104-bb"><span class="identifier">resize_impl</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45853739246720-bb"><span class="identifier">resize_m_xout</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989365200-bb"><span class="identifier">extrapolate</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739244336-bb"><span class="identifier">extrapolate</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span><span class="special">,</span> 
                      <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45806989360592-bb">public member functions</a></span>
+  <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45853739239728-bb">public member functions</a></span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
            <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989360032-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739239168-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
                       <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">Err</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
            <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989351280-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739230416-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
                          <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">Err</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
            <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989343776-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739222912-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
                       <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989336272-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739215408-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
                          <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989330016-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739209152-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 
                            <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
            <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989323760-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739202896-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> 
                            <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45806989316256-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45853739195392-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
 
   <span class="comment">// public data members</span>
   <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">order_type</span> <span class="identifier">order_value</span><span class="special">;</span>
@@ -93,7 +93,7 @@
   <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">size_t</span> <span class="identifier">m_k_max</span><span class="special">;</span>
 <span class="special">}</span><span class="special">;</span></pre></div>
 <div class="refsect1">
-<a name="idm46278818243712"></a><h2>Description</h2>
+<a name="idm45221358821040"></a><h2>Description</h2>
 <p>The extrapolation stepper is a stepper with error estimation and configurable order. The order is given as template parameter and needs to be an <span class="emphasis"><em>odd</em></span> number. The stepper is based on several executions of the modified midpoint method and a Richardson extrapolation. This is essentially the same technique as for <a class="link" href="bulirsch_stoer.html" title="Class template bulirsch_stoer">bulirsch_stoer</a>, but without the variable order.</p>
 <div class="note"><table border="0" summary="Note">
 <tr>
@@ -105,53 +105,53 @@
 <p>
 </p>
 <div class="refsect2">
-<a name="idm46278818240544"></a><h3>
+<a name="idm45221358817920"></a><h3>
 <a name="boost.numeric.odeint.extrapolation_stepperconstruct-copy-destruct"></a><code class="computeroutput">extrapolation_stepper</code> 
         public
        construct/copy/destruct</h3>
-<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm45806989313712-bb"></a><span class="identifier">extrapolation_stepper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div>
+<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm45853739192848-bb"></a><span class="identifier">extrapolation_stepper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278818230128"></a><h3>
-<a name="idm45806989372672-bb"></a><code class="computeroutput">extrapolation_stepper</code> private member functions</h3>
+<a name="idm45221358807504"></a><h3>
+<a name="idm45853739251808-bb"></a><code class="computeroutput">extrapolation_stepper</code> private member functions</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
-<li class="listitem"><pre class="literallayout"> <a name="idm45806989372096-bb"></a><span class="identifier">BOOST_STATIC_ASSERT_MSG</span><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&amp;&amp;</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">&gt;</span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 
+<li class="listitem"><pre class="literallayout"> <a name="idm45853739251232-bb"></a><span class="identifier">BOOST_STATIC_ASSERT_MSG</span><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&amp;&amp;</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">&gt;</span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 
                          <span class="string">"extrapolation_stepper requires even Order larger than 2"</span><span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806989369968-bb"></a><span class="identifier">resize_impl</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806989367584-bb"></a><span class="identifier">resize_m_xout</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45853739249104-bb"></a><span class="identifier">resize_impl</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45853739246720-bb"></a><span class="identifier">resize_m_xout</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989365200-bb"></a><span class="identifier">extrapolate</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&amp;</span> table<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739244336-bb"></a><span class="identifier">extrapolate</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&amp;</span> table<span class="special">,</span> 
                    <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span> coeff<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> xest<span class="special">)</span><span class="special">;</span></pre></li>
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278818182032"></a><h3>
-<a name="idm45806989360592-bb"></a><code class="computeroutput">extrapolation_stepper</code> public member functions</h3>
+<a name="idm45221358759472"></a><h3>
+<a name="idm45853739239728-bb"></a><code class="computeroutput">extrapolation_stepper</code> public member functions</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
          <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989360032-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739239168-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
                     <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">,</span> <span class="identifier">Err</span> <span class="special">&amp;</span> xerr<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989351280-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> inout<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739230416-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> inout<span class="special">,</span> 
                        <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">,</span> 
                        <span class="identifier">Err</span> <span class="special">&amp;</span> xerr<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
          <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989343776-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739222912-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
                     <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989336272-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> inout<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739215408-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> inout<span class="special">,</span> 
                        <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989330016-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739209152-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
                          <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
          <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806989323760-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853739202896-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> 
                          <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> 
                          <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45806989316256-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45853739195392-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
 </ol></div>
 </div>
 </div>